RIEMANN-HILBERT PROBLEMS OF DEGENERATE HYPERBOLIC SYSTEM
RIEMANN-HILBERT PROBLEMS OF DEGENERATE HYPERBOLIC SYSTEM
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摘要:
This paper is concerned with the Riemann-Hilbert problems of degenerate hyperbolic system in two general domains, where the boundary curves are given by the parameter equations of the arc length s. We prove the existence and uniqueness of solutions to the Riemann-Hilbert problems by conformal deformations. The corre-sponding representations of solutions to the problems are also presented.